To solve this expression, we can use the properties of exponents.
First, let's simplify the numerator: 6^-18 * 6^42
Using the rule that says "When multiplying two numbers with the same base, add the exponents," we can rewrite this as: 6^(-18 + 42)
Simplifying the exponent, we get: 6^24
Now, let's simplify the denominator: 6^20
Now we can put the expression back together by dividing the numerator by the denominator: 6^24 / 6^20
Using the rule that says "When dividing two numbers with the same base, subtract the exponents," we can rewrite this as: 6^(24 - 20)
Simplifying the exponent, we get: 6^4
Therefore, the final answer is 6^4.
